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Finding the Third Proportional to 7,769.25 and 11,635.88

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Solution

The third proportional to 7,769.25 and 11,635.88 is: 17,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.25 : 11,635.88 = 11,635.88 : x
  2. Step 2: Convert to fraction form
    7,769.25/11,635.88 = 11,635.88/x
  3. Step 3: Cross multiply
    7,769.25x = 11,635.88 × 11,635.88
  4. Step 4: Simplify right side
    7,769.25x = 135,393,587.02
  5. Step 5: Solve for x
    x = 135,393,587.02/7,769.25
  6. Step 6: Final answer
    x = 17,426.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.